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Simplifying -2(2x + -4) + -7(x + 8) = 0 Reorder the terms: -2(-4 + 2x) + -7(x + 8) = 0 (-4 * -2 + 2x * -2) + -7(x + 8) = 0 (8 + -4x) + -7(x + 8) = 0 Reorder the terms: 8 + -4x + -7(8 + x) = 0 8 + -4x + (8 * -7 + x * -7) = 0 8 + -4x + (-56 + -7x) = 0 Reorder the terms: 8 + -56 + -4x + -7x = 0 Combine like terms: 8 + -56 = -48 -48 + -4x + -7x = 0 Combine like terms: -4x + -7x = -11x -48 + -11x = 0 Solving -48 + -11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -11x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -11x = 0 + 48 -11x = 0 + 48 Combine like terms: 0 + 48 = 48 -11x = 48 Divide each side by '-11'. x = -4.363636364 Simplifying x = -4.363636364
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